|
| |
|
|
A001314
|
|
Number of (unordered) ways of making change for n cents using coins of 2, 5 (two kinds), 10, 20, 50 cents.
|
|
1
| |
|
|
1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 5, 2, 5, 2, 5, 8, 5, 8, 5, 8, 15, 8, 15, 8, 15, 22, 15, 22, 15, 22, 35, 22, 35, 22, 35, 48, 35, 48, 35, 48, 70, 48, 70, 48, 70, 92, 70, 92, 70, 92, 127, 92, 127, 92, 127, 162, 127, 162, 127, 162
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,6
|
|
|
REFERENCES
| R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics. Addison-Wesley, Reading, MA, 1990, p. 316.
G. P\'{o}lya and G. Szeg\"{o}, Problems and Theorems in Analysis, Springer-Verlag, NY, 2 vols., 1972, Vol. 1, p. 1.
|
|
|
LINKS
| INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 183
Index entries for sequences related to making change.
|
|
|
MAPLE
| 1/(1-x^2)/(1-x^5)^2/(1-x^10)/(1-x^20)/(1-x^50)
|
|
|
MATHEMATICA
| a[n_] := SeriesTerm[1/((1 - x^2)((1 - x^5)^2)(1 - x^10)(1 - x^20)(1 - x^50)), {x, 0, n}]
|
|
|
CROSSREFS
| Sequence in context: A099986 A166478 A050325 * A020733 A059913 A083273
Adjacent sequences: A001311 A001312 A001313 * A001315 A001316 A001317
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|
